Computation of the Vortex Free Energy in SU(2) Gauge Theory

Abstract

We present the first measurement of the vortex free-energy order parameter at weak coupling for SU(2) in simulations employing multihistogram methods. The result shows that the excitation probability for a sufficiently thick vortex in the vacuum tends to unity. This is rigorously known to provide a necessary and sufficient condition for maintaining confinement at weak coupling in SU(N) gauge theories.

7 pages, LaTeX with 3 eps figures, minor changes, replacement of Fig. 3

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